__Math Lessons__

__Numbers: Reading & Writing Numbers__

Grade 5 Outcome A1: represent and describe **whole numbers** to 1 000 000

updated
September 13, 2012

Performance Standards/Learning Intention/Big Idea /Vocabulary/Lessons /Support

Performance Standard focus (Fully Meeting)

* *Concepts & Applications /Patterns & Relationships: I can recognize simple patterns and relationships

Learning Intentions: I will read, represent and describe **whole numbers** to 1 000 000 in a variety of ways.

Task:

- to
**watch & listen**to lessons/modelling carefully - to
**try**reading, writing and describing whole number questions independently - to solve several
**practice**reading, writing and describing whole number questions independently - goal: to
**model**and**teach**a peer how to read, write and describe whole number

Criteria: to complete practice questions correctly

Big Idea: real-life connection

Vocabulary (word document for printing)

standard form

:36

place value:three tens, six ones

number words:thirty-six

expanded notation or expanded form:30 + 6

whole numbers:0, 1, 2, 3, 4 ... beginning at zero, counting number without an endones,ten, hundred, thousand, million

Model: visualizing the concept (also Riverdeep, NLVM, Shodor, Jenny Eather, Cut the Knot)

Let’s review place value first: Read the following numbers. (see poster for more practice)

* first names are all the same (hundreds, tens, ones), last or family names change (ones, thousands, millions)

WarmUp: connecting to prior knowlege

IXL (http://www.ixl.com/math/practice/grade-5-compare-numbers-up-to-billions)

Lesson # 1 Place Value

Lesson # 2 Number Words

Lesson # 3 Expanded Form (or Expanded Notation)

Lesson # 4 Ordering Numbers

Lesson # 5 Review

Lesson # 6 Place Value, a new look

*Warm-Up*: (http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/bead/index.htm)

** you need a pencil and paper (your scrap book)

*Concrete Practice*: reading and writing numbers

** Using Visual Manipulatives:** concrete exploration

National Library of Visual Manipulatives

**watch & listen**to a couple of examples- using your scrap paper book,
**try**writing and reading the number independently

__Moving towards the Abstract__:* ** begin with more watch/listen/try and move into independent practice*

* our number system follows a cyclical pattern, H T O

** remember the place value family names (e.g. millions, thousands, ones) and each 'family' contains three 'members' (HTO)

i) read the following numbers

a)6 2 4(six hundred twenty-four)

H T Othis space is called “thousand”

b)6 2 4 0 0 0(six hundred twenty-four thousand)

H T O H T O

this space is called “million”

c)6240 0 0 0 0 0(six hundred twenty-four million)

H T O H TO H T O

* remember: read the group of numbers prior to a space as if it were a group of HTO

- 524
37566580023712321800420712386720013450000143700000ii) Naming the specific place value for 7 digit numbers (millions). http://www.aaaknow.com/plc41ax2.htm

……….you need to visualize the spaces(watch&listen, move intotryingsome independently)iv) Comparing 7 digit number (millions) http://www.321know.com/g8_41bx1.htm (

watch&listen, move intotryingsome independently)(more practice questions:

when ready,peel off to complete the assignment sheet.....page set-up, Math Page Setup Checklist)

What is the number 4 768 2 719 62 125

a) how many 10sb) how many 1s

c) how many 100s

d) how many 1 000s

c) 1 000 more

d) 300 less

e) 10 000 more

f) 2 000 less

What does each digit mean? Remember, we are

not readingthe numbers.

- 4 675 e.g. means 4 thousands, 6 hundreds, 7 tens, 5 ones
- 23 987 How many thousands? How many ten thousands?
- 503 982 How many hundred thousands?
- 7 000 000 How many one million?

Word Problems

Bob is trying to figure out the number Sally has written down. She tells him that there are five tens, eight thousands, four hundreds, and two ones. What is the number?

Online Practice (Place Value)

* Lesson #1 Assignments* (worksheet or Math Makes Sense)

Grade 5:lesson 1 worksheet

Warm-up (http://www.ictgames.com/arrowcards.html)

Review: we write numbers in many forms

**standard form: **36

**place values: **three tens, six ones

**number words: **thirty-six** **

**expanded notation **or** expanded form: **30 + 6

Use the handout (Number Words) when writing **number words** until your spelling is accurate.

Rules:

- the word ‘and’ refers to the decimal…… 6.3 = six and three tenths
- we use a hyphen when writing two digit numbers in the tens and ones place value spots such as
__36__=__thirty-six__, 2__72__= two hundred__seventy-two__, 1 0__32__000 = one million__thirty-two__thousand

** Class Practice** (place value chart: open in a new window)

Use the following website to practice writing the

a) practice going from the** number words** to **standard form** http://www.aaaknow.com/nam14ax2.htm

b) practice going from the **standard form** to **number words **

fifty-six = _________________________

nine hundred eighty-two = _________________________

four thousand twenty-two = _________________________

three hundred thousand seven = _________________________

one million fifty thousand two hundred six = _________________________

48 = __________________________________________________________

3 970 = __________________________________________________________

502 712 = __________________________________________________________

1 845 200 = _______________________________________________________

Online Practice Number Words

* Lesson #2 Assignments* (worksheet or Math Makes Sense)

Grade 5:lesson 2 worksheet

Lesson #3 Expanded Notation or Expanded Form

Warm-up (http://www.ictgames.com/arrowcards.html)

Review: we write numbers in many forms

**standard form: **36 5 293 43 759 1 647 345 2 500 000

**place values: **three tens, six ones

**number words: **thirty-six** **

**expanded notation **or** expanded form: **30 + 6

* expanded means to stretched out

** Model** 549 = 5 00 + 40 + 9

To write a number in

** Manipulatives** use Power of Ten cards to show

- 86 = 80 + 6 ………………(think
*8**tens = 80,*)**6**ones = 6 - 326 = 300 + 20 + 6………..(think
*3**hundreds = 300,*)**2**tens = 20,**6**ones = 6 - 4 209 = 4 000 + 200 + 9 ……(think
*4**thousand = 4000,*)**2**hundreds = 200, 0 tens means we don’t need to add 0,**9**ones = 9*remember your spaces*

__Class Practice __

Concrete: (use **Power of Ten** expanded notation form cards to illustrate)

Abstract: Using the following website, we will predict and check the expanded notation for a variety of numbers.

http://www.amathsdictionaryforkids.com/dictionary.html

- 72 = ____________________________

- 789 = _________________________________________

- 2 749 = ______________________________________________________

- 9 453 = ______________________________________________________

- 18 354 = ______________________________________________________

- 43 300 = ______________________________________________________

Online Practice: Expanded Notation

* Lesson #3 Assignments* (worksheet or Math Makes Sense)

Grade 5:lesson 3 worksheet

Warm-up: (http://www.321know.com/cmp22cx2.htm)

viewhttp://schoolwaxtv.com/node/164

Practice: Now, examining the value of adigitbased on its location, decide which number is larger. We will use < > symbols to show the relationship between the number pairs:

6966894 243 4 713421 035 406 58335 397 35 739686 6 689

:Practice

With your seating partner, write the following series of numbers in order fromgreatesttoleast: discuss the strategy you useda) 686, 696, 689 ___________________________________________________________

b) 4 756, 4 243, 4 713 _______________________________________________________

c) 421 035, 406 583, 423 004, 40 795 ___________________________________________

d) 35 937, 35 397, 35 739 ___________________________________________________

Online Practice: Ordering Numbers

* Lesson #4 Assignments* (worksheet or Math Makes Sense)

Grade 5:lesson 4 worksheetOnline Practice: choose alternate lessons and multiple practice sites

Self-Assessment of Learning: alternate lessons and multiple practice sites

Rating

Not at all

A bit

Quite well

Very well

Extremely well

I understand this concept….

I will now

- ___ seek out reteaching (Help Please, online lesson)
- ___ plan for extra practice (Independent Block) or
- ___ move on

Lesson #5 Review, with a little be extra

Review: we write numbers in many forms

standard form:36.2

place values:three tens, six ones, two tenths

number words:thirty-six and two tenths

expanded notationorexpanded form:30 + 6 + 0.2review:

Place Value: adding in a decimal spot

millions

(family)thousands

(family)ones

(family)tenths

(family)Hundred Millions

Ten

MillionsOne Millions

Hundred Thousands

Ten Thousands

One Thousands

Hundreds

Tens

Ones

tenths

5

9

3

4

5

4

6

3

2

6

1

5

0

5

0

9

4

9

9

4

9

9

0

5

7

4* read the following numbers

Standard Form

3756.4 (three thousand seven hundred fifty-six and four tenths)65800.7321800.63867200.113450000.9

Number words: together, let’s write the number words for the numbers above.3 756.4 three thousand seven hundred fifty-six and four tenths

65 800.7 sixty-five thousand eight hundred and seven tenths

321 800.6 three hundred twenty-one eight hundred and one tenth

3 867 200.1 three million eight hundred sixty-seven thousand two hundred and one tenth

13 450 000.9 thirteen million four hundred fifty thousand and nine tenths

Expanded Form(Notation): we do this the same way as before only with decimal added.

4 tenths is written as 0.4 (you need the zero because it tells us a decimal comes next) so,

300.4 = 300 + 0.4240.7 = 200 + 40 + 0.7 Again, ignore the decimal until you get to it.

3 450.8 =

2 300 002.5 =

6 520 300.6 =

Ordering Numbers:

0.1 is the smallest tenths, it almost does not existwhile 0.9 is the largest, it is almost 1 whole

Grade 5:lesson 5 worksheet

Lesson #6 Place Value, a new look

Review: we write numbers in many forms

standard form:36 5 293 43 759 1 647 345 2 500 000

place values:three tens, six ones

number words:thirty-six

expanded notationorexpanded form:30 + 6review:

On scrap paper (drawing book), practice writing numbers in the above forms.

Grade 6:lesson 6 worksheet

Text Support: e.g. my own lessons, Riverdeep, Math Makes Sense